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Finding the Fourth Proportional to 200.93, 276.99 and 138.66

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Solution

The fourth proportional to 200.93, 276.99 and 138.66 is: 191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.93 : 276.99 = 138.66 : x
  2. Step 2: Convert to fraction form
    200.93/276.99 = 138.66/x
  3. Step 3: Cross multiply
    200.93x = 276.99 × 138.66
  4. Step 4: Simplify right side
    200.93x = 38,407.43
  5. Step 5: Solve for x
    x = 38,407.43/200.93
  6. Step 6: Final answer
    x = 191.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.